In loops that look something like
i = n; do { ... } while(i++ < n+k);
where k is a constant, the maximum backedge count is k (in fact the backedge count will be either 0 or k, depending on whether n+k wraps). More generally for LHS < RHS if RHS-(LHS of first comparison) is a constant then the loop will iterate either 0 or that constant number of times.
This allows for more loop unrolling with the recent upper bound loop unrolling changes, and I'm working on a patch that will let loop unrolling additionally make use of the loop being executed either 0 or k times (we need to retain the loop comparison only on the first unrolled iteration).